Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges...
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Transcript of Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges...
![Page 1: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/1.jpg)
Magnetic FieldsChapter 26
26.5 Sources of the Magnetic FieldThe magnetic field of moving charges
The magnetic field of currents
Biot-Savart law
Last week’s lectures
![Page 2: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/2.jpg)
Example 26.5
Magnetic field B due to a current in a straight wire.
If the length of the wire approaches infinity in both directions –
Do on board
![Page 3: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/3.jpg)
Magnetic field B due to a current in a straight wire.
If the length of the wire approaches infinity in both directions, we find
We can determine the direction of the
magnetic field due to current-carrying wire using the right hand.
![Page 4: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/4.jpg)
Magnetic field B due to a current in a straight wire.
If the length of the wire approaches infinity in both directions, we find field lines distributed thus:
![Page 5: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/5.jpg)
Magnetic force between parallel wires
The magnetic field B1 due to current I1 is perpendicular to current I2.
The force on current I2 is towards current I1.
There is an equal an opposite force exerted by current I2 on I1. The wires thus attract each other.
1222 BldIdF
If current I1 is reversed, B1 would be in opposite direction. Therefore we find that antiparallel currents repel.
![Page 6: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/6.jpg)
EXAMPLE: Two wires are carrying current of 1.7 A in the positive z-direction, at x = -3 cm, y = 0 and x = +3 cm, y = 0.Find the magnetic field at a point P on the y-axis at y = 6 cm.
This will be done in tomorrow’s workshop lecture
![Page 7: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/7.jpg)
Magnetic dipoles
This is the geometry for calculating the magnetic field at a point on the axis of a circular current loop.
EXERCISE: What is B a long way from the loop?
![Page 8: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/8.jpg)
where is the magnetic moment
20
3
2
4x
I RB
x
2( )I R
At great distances from the loop, this becomes
OR
![Page 9: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/9.jpg)
electric dipole
magnetic dipole
![Page 10: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/10.jpg)
Dipole moment
Reading:
26.6 Magnetic dipoles
26.7 Magnetic matter
![Page 11: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/11.jpg)
CHECKPOINT: What is the current direction in this loop? And which side of the loop is the north pole?
A. Current clockwise; north pole on top
B. Current clockwise; north pole on bottom
C. Current anticlockwise; north pole on top
D. Current anticlockwise; north pole on bottom
Answer: B.
![Page 12: Magnetic Fields Chapter 26 26.5 Sources of the Magnetic Field The magnetic field of moving charges The magnetic field of currents Biot-Savart law Last.](https://reader033.fdocuments.net/reader033/viewer/2022051315/56649ef45503460f94c07f86/html5/thumbnails/12.jpg)
Gauss’ law for magnetism
Got it? Which could be a magnetic field?